PreCalculus

Welcome! Lesson details for each day are described below.  I will do my best to not only stay updated, but also provide extra links and resources for you to use and explore.

 My Channel for Precalculus



Chapter 2:  Polynomials and Rational Functions

Chapter 3 of the book: Ch3PCBook

Day 17:  October 11th/15th.  Objective:  Students will construct polynomials from roots.  Notes:  PC2-1Notes Class Practice:PC2-1(a)  Homework: Ch3PCBook p. 263 #’s 1-8 all.  The Factor Theorem uses the same skill you had for homework last class.  In problem #1, use c=2 to write the factor (x-2) to see how f(x) can be fully factored or not.  Try each problem.

Chapter 1 – Part 2:  Transformations, Inverses, and Compositions of Functions

Chapter 2 of the book:  Ch2PCBook

Our Book’s Answer Key:  PCBookAnswers

Needed for Inverse Homework:Ch4PCBook

Day 16:  October 8th/9th.  Objective:  Students will prove their knowledge by completing an individual test.  Homework:  PC2-0

Day 15:  October 4th/5th. Objective:  Students will collaborate to complete a group test in order to prepare for an individual test on Monday/Tuesday.  Homework:   Study for the individual test!

Day 14:  October 2nd/3rd.  Objective:  Students will review unit material to prepare for a group test and individual test. Unit Review: PC1-Review(2) Review Key:  PC1-Review(2)KEY Group Test is next class!  Individual Test will be Monday/Tuesday!  Homework:  study!

Day 13:  September 28th/October 1st.  Objective:  Students will find the inverse of a function algebraically and graphically. Class Notes:  PC1-9InverseNotes Additional Notes Scan:  PC1-9NotesFrontScan  Homework:  1) Finish classwork worksheet Classwork PC 1-9 and 2)  p.  309 #’s 43, 44, 47, 49, 51, and 52 (Just find the inverse of these functions) Ch4PCBook.  Side Note:  If you are wondering why you can’t divide by 0, watch this video:  Dividing by zero?  It might help you conceptualize some things that we’ve discussed before.

Day 12:  September 26/27.  Objective:  Students will perform operations on functions as well as compositions of functions. Notes Part 1: PC1-8NotesPart1 Notes Part 2: PC1-8NotesPart2 Classwork Practice Problems:  PC1-8Practice Homework:  p. 170 #’s 1, 3, 5, 7, 21, 23, 25 (you don’t need to find the domain)

Day 11:  September 24th/25th.  Objective:  Students will perform transformations and write coordinate rules for them. Notes: PC1-7Notes  Homework:  complete this document:  PC1-7PracticeProblems

Day 10: September 20th/21st.  Objective:  Students will perform transformations given a graph, equation, or point on a graph. New YouTube video of Notes: Transformations  Exploration Notes Part 1:  PC1-6ExplorationPart1Completed  Exploration Notes Part 2: PC1-6ExplorationPart2Front  and PC1-6ExplorationPart2Back Homework:  p. 162 #’s 1-24 all (make sure to graph the equations shown).

Day 9:  September 18th/19th: Objective:  Students will evaluate the difference quotient given a function. Notes: PC1-5Notes  Completed Notes: PC1-5NotesCompleted Homework:  Finish all the classwork problems here:  PC1-5ClassPracticeProblems.  Also complete p. 150 #’s 81-84.  In these problems, simply evaluate the difference quotient.



Chapter 1:  Functions and Their Graphs

Chapter 2 of the book:  Ch2PCBook

Our Book’s Answer Key:  PCBookAnswers

Day 8:  September 14th/17th.  Objective:  Students will prove their knowledge on Functions and their graphs.  Homework:  None.

Day 7: September 12th/13th.  Objective:  Students will review unit material to prepare for a test next class.  Unit Review:  PC1-Review(1) Review Key:  PC1-Review(1)KEY (I made a mistake on number 4, so I apologize).  We will go over exactly why #4 isn’t a good example problem later, but you can use other example problems from homework and daily quizzes instead.  TEST NEXT CLASS!

Day 6:  September 10th/11th.  Objective:  Students will determine if a function is even, odd, or neither both algebraically and graphically. Glue-In: PC1-4 Notes Completed Glue-In: PC1-4GlueComplete Class work: PC1-4PracticeProblems Homework:  p 148 #’s 9-19 odd (part c only) #’s 41-51 all problems.

Day 5:  September 6th/7th.  Objective:  Students will determine the intervals for which a function is concave up or concave down. Glue-In:  PC1-3GlueIn Glue-In(Completed):  PC1-3GlueInCompleted Class Investigation: PC1-3InvestigationNotes Investigation Answer Key: PC1-3InvestigationNotesSolutions  Homework:  Tonight’s homework will be to complete all of these problems: PC1-3HomeworkSet.  Homework Set Solutions:  PC1-3HomeworkSetSolutions

Day 4: September 4th/5th.  Objective:  Students will define piecewise functions from a graph.  Students will determine the intervals that a function is increasing, decreasing, and constant. Investigation #1 and #2 (Piecewise Functions/Intervals Increasing and Decreasing): Investigation and Notes Completed Notes #1: Piecewise Functions Completed Notes #2: Intervals Increasing/Decreasing  Homework:  p. 148 #’s 1-8 all (draw the graphs too) #’s 9 – 19 odd (only do a and b parts – skip part c and d), #’s 85, 86, 87, and 88 (draw the graphs too).

Day 3: August 30th/31st.  Objective:  Students will write the domain of a function using set notation given an equation or graph.  Students will write the range of a function using set notation given a graph.  Notes(blank):  PC1-1Notes Filled in Notes: PC1-1NotesComplete Practice Problems from class:  PC1-1 Homework:  p. 125 #’s 17, 23-31 odd, #’s 37, 39, and 41, #’s 49 – 59 odd.

Day 2:  August 28th/29th. Objective:  Students will assess quiz feedback, familiarize themselves with classroom routines, and find the domain and range of a function.  Classwork:  PC1-0Stations Classwork Solutions:  PC1-0StationsSolutions Homework:  p. 125 #’s 1-11 odd, #’s 13, 15, 21, and 33.  Show your work.

Day 1: August 27.  Objective:  Students will familiarize themselves with class rules and routines as they analyze the learning objectives for the school year.  Course Syllabus: PCSyllabus Homework:  Visit this website (if you are reading this, congratulations).  Watch the first three videos on My Channel for Precalculus .  Begin obtaining necessary course materials and see me if you need help.

 

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